Topological tools for the prescribed scalar curvature problem on S n

• Autorzy: Dina Abuzaid , Randa Ben Mahmoud , Hichem Chtioui , Afef Rigane
• Języki publikacji: EN

Abstrakty

EN

In this paper, we consider the problem of the existence of conformal metrics with prescribed scalar curvature on the standard sphere S n, n ≥ 3. We give new existence and multiplicity results based on a new Euler-Hopf formula type. Our argument also has the advantage of extending well known results due to Y. Li [16].

Słowa kluczowe

EN

Scalar curvature; Variational method; β-flatness condition; Loss of compactness; Critical points at infinity; Topological method

Kategorie tematyczne

• 35J65: Nonlinear boundary value problems for linear elliptic equations
• 53C21: Methods of Riemannian geometry, including PDE methods; curvature restrictions
• 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel\cprime man) theory, etc.)
• 35B40: Asymptotic behavior of solutions

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 12
• Strony: 1829-1839

Daty

wydano

2014-12-01

online

2014-07-20

Twórcy

autor

Dina Abuzaid

• King Abdulaziz University

autor

Randa Ben Mahmoud

• Route of Soukra

autor

Hichem Chtioui

• King Abdulaziz University

autor

Afef Rigane

• Route of Soukra

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-014-0443-9